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Titlebook: Introduction to System Reliability Theory; Jorge Navarro Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive li

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书目名称Introduction to System Reliability Theory
编辑Jorge Navarro
视频video
概述An up-to-date introduction to system reliablity theory.Introduces simple mathematical models.Supplies code for the statistics program R
图书封面Titlebook: Introduction to System Reliability Theory;  Jorge Navarro Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive li
描述.This textbook provides the tools for a modern post-graduate introductory course on system reliability theory. It focuses on probabilistic aspects of the theory, including recent results based on signatures, stochastic orders, aging classes, copulas and distortion (or aggregation) functions. The reader requires on an introductory knowledge on probability theory and mathematics. The book serves both for graduate students in mathematics and for engineering students in various disciplines as well as students learning survival analysis, network reliability or simple game theory. Included also are brief introductions to the basic aspects of lifetime modelling, stochastic comparisons, aging classes, mixtures and copula theory. The book develops this knowledge with worked examples and supplies code for the program R so that students can explore its lessons and techniques..
出版日期Textbook 2022
关键词Reliability; Coherent Systems; Stochastic Orders; Aging Classes; Copula; Importance Indices; Redundancy; Su
版次1
doihttps://doi.org/10.1007/978-3-030-86953-3
isbn_softcover978-3-030-86955-7
isbn_ebook978-3-030-86953-3
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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textbook provides the tools for a modern post-graduate introductory course on system reliability theory. It focuses on probabilistic aspects of the theory, including recent results based on signatures, stochastic orders, aging classes, copulas and distortion (or aggregation) functions. The reader r
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Coherent System Structures, games, connectivity properties of networks and mixed systems are studied in the third section. The fourth section contains some results for multi-state systems with binary components. The components’ importance indices are not studied here. Some of them are studied in Chap. .. In a first reading, Sects. . and . can be skipped (if you want).
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Redundancy and Repair Properties,What are the best points in the structure to add the redundant components? Which one is the best redundancy option? We also study some component importance indices that can be used to determine the best replacement options.
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Stochastic Comparisons,identically distributed (IID) components, exchangeable (EXC) components, identically distributed (ID) components, independent (IND) components or dependent components. The dependence is modeled by using copulas (or joint reliability functions). This chapter is based on the review paper Navarro (2018b).
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Jorge Navarroe encyclopaedia is available in book and electronic format which is linked to relevant ophthalmologic journals and is continuously updated. All chapters are authored by leading experts in the specific field. Th978-3-540-69000-9
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